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Derivative expansion and gauge independence of the false vacuum decay rate in various gauges

D. Metaxas
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Abstract

In theories with radiative symmetry breaking, the calculation of the false vacuum decay rate requires the inclusion of higher-order terms in the derivative expansion of the effective action. I show here that, in the case of covariant gauges, the presence of infrared singularities forbids the consistent calculation by keeping the lowest-order terms. The situation is remedied, however, in the case of $R_ξ$ gauges. Using the Nielsen identities I show that the final result is gauge independent for generic values of the gauge parameter $v$ that are not anomalously small.

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D. Metaxas. 2001-01-08. Derivative expansion and gauge independence of the false vacuum decay rate in various gauges. https://doi.org/10.1103/physrevd.63.085009

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